Answer:
The equation that describes the amount of mass left after a time t of a radioactive isotope is the following:
where
is the mass of the sample at t = 0
is the half-life of the sample
For the element X in this problem,
We want to find the time t at which
So we need to re-arrange the equation making t the subject:
Step-by-step explanation:
Answer:
The sequence of transformation is 90 degrees counterclockwise rotation, followed by a horizontal translation to the right by 2 units.
The order pair rule for each are (x, y) to (-y, x) and (x+2,y)
Answer:
58 degrees
Step-by-step explanation:
add the 2 shown, 74+48, to get 122 all triangles add up to 180 so subtract 122 from 180 and you get 58
Answer:
The equation is:
and a beam with 10 in diagonal will support 300 lb
Step-by-step explanation:
The mathematical expression that represents the statement:
"The maximum load a beam will support varies directly with the square of the diagonal of the beam’s cross-section. "
can be written as:
where k is the constant of proportionality
To find the constant we use the data they provide: "A beam with diagonal 6 in will support a maximum load of 108 lb.":
Now we can use the proportionality found above to find the maximum load for a 10 in diagonal beam:
Answer:
Step-by-step explanation:
Bob's deal : 11/10= 1.1 dollars per bagel
Danny's bagel=3/4=0.75 dollars per bagel
Danny's deal is better the price is lower
2- fraction : 11/10>3/4
1.1>0.75 the lower the price the better
3- Danny's deal is better because the price of 10 bagels=7.5 dollars
